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This IMA Volume in Mathematics and its Applications AMORPHOUS
POLYMERS AND NON-NEWTONIAN FLUIDS is in part the proceedings of a
workshop which was an integral part of the 1984-85 IMA program on
CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS We are
grateful to the Scientific Committee: Haim Brezis Constantine
Dafermos Jerry Ericksen David Kinderlehrer for planning and
implementing an exciting and stimulating year-long program. We espe
cially thank the Program Organizers, Jerry Ericksen, David
Kinderlehrer, Stephen Prager and Matthew Tirrell for organizing a
workshop which brought together scientists and mathematicians in a
variety of areas for a fruitful exchange of ideas. George R. Sell
Hans Weinberger Preface Experiences with amorphous polymers have
supplied much of the motivation for developing novel kinds of
molecular theory, to try to deal with the more significant features
of systems involving very large molecules with many degrees
offreedom. Similarly, the observations of many unusual macroscopic
phenomena has stimulated efforts to develop linear and nonlinear
theories of viscoelasticity to describe them. In either event, we
are confronted not with a well-established, specific set of
equations, but with a variety of equations, conforming to a loose
pattern and suggested by general kinds of reasoning. One challenge
is to devise techniques for finding equations capable of delivering
definite and reliable predictions. Related to this is the issue of
discovering ways to better grasp the nature of solutions ofthose
equations showing some promise.
This IMA Volume in Mathematics and its Applications AMORPHOUS
POLYMERS AND NON-NEWTONIAN FLUIDS is in part the proceedings of a
workshop which was an integral part of the 1984-85 IMA program on
CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS We are
grateful to the Scientific Committee: Haim Brezis Constantine
Dafermos Jerry Ericksen David Kinderlehrer for planning and
implementing an exciting and stimulating year-long program. We espe
cially thank the Program Organizers, Jerry Ericksen, David
Kinderlehrer, Stephen Prager and Matthew Tirrell for organizing a
workshop which brought together scientists and mathematicians in a
variety of areas for a fruitful exchange of ideas. George R. Sell
Hans Weinberger Preface Experiences with amorphous polymers have
supplied much of the motivation for developing novel kinds of
molecular theory, to try to deal with the more significant features
of systems involving very large molecules with many degrees
offreedom. Similarly, the observations of many unusual macroscopic
phenomena has stimulated efforts to develop linear and nonlinear
theories of viscoelasticity to describe them. In either event, we
are confronted not with a well-established, specific set of
equations, but with a variety of equations, conforming to a loose
pattern and suggested by general kinds of reasoning. One challenge
is to devise techniques for finding equations capable of delivering
definite and reliable predictions. Related to this is the issue of
discovering ways to better grasp the nature of solutions ofthose
equations showing some promise."
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